There’s no immediately obvious connection between hexagons and dodecahedra. I was therefore surprised when I ran into this while playing around with Stella 4d, a program which allows easy polyhedron manipulation. (See www.software3d.com/stella.php for free trial download.) Hexagons, it turns out, work perfectly well to trace out the edges of a dodecahedron, and they need not even be regular to do so.